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4212788836 = 22172232832
BaseRepresentation
bin1111101100011010…
…0000111001100100
3101212121002211212011
43323012200321210
532111433220321
61534010404004
7206253054124
oct37306407144
911777084764
104212788836
111872011673
12996a30604
13521a35a79
142bd704c84
15199ca8ae1
hexfb1a0e64

4212788836 has 81 divisors (see below), whose sum is σ = 8286692281. Its totient is φ = 1873446784.

The previous prime is 4212788831. The next prime is 4212788863. The reversal of 4212788836 is 6388872124.

The square root of 4212788836 is 64906.

It is a perfect power (a square), and thus also a powerful number.

4212788836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3279852900 + 932935936 = 57270^2 + 30544^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4212788836.

It is not an unprimeable number, because it can be changed into a prime (4212788831) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50756451 + ... + 50756533.

Almost surely, 24212788836 is an apocalyptic number.

4212788836 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4212788836 is the 64906-th square number.

It is an amenable number.

4212788836 is a deficient number, since it is larger than the sum of its proper divisors (4073903445).

4212788836 is a wasteful number, since it uses less digits than its factorization.

4212788836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 125 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The cubic root of 4212788836 is about 1615.0645957543.

Multiplying 4212788836 by its sum of digits (49), we get a square (206426652964 = 4543422).

The spelling of 4212788836 in words is "four billion, two hundred twelve million, seven hundred eighty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 4 17 23 34 46 68 83 92 166 289 332 391 529 578 782 1058 1156 1411 1564 1909 2116 2822 3818 5644 6647 6889 7636 8993 13294 13778 17986 23987 26588 27556 32453 35972 43907 47974 64906 87814 95948 117113 129812 152881 158447 175628 234226 305762 316894 468452 551701 611524 633788 746419 1103402 1492838 1990921 2206804 2693599 2985676 3644281 3981842 5387198 7288562 7963684 10774396 12689123 14577124 25378246 45791183 50756492 61952777 91582366 123905554 183164732 247811108 1053197209 2106394418 4212788836